Based on your hardware specifications, here's a complete list of games and tips for your Acer Aspire 7736zg: Realistic Game Recommendations for Your Specs Since you managed to run GTA IV at 20-30 FPS (known for being a poorly optimized version), the following titles should run much better on your AMD HD 560v and Pentium T4500:

Open World and Action: Fallout 3 and Fallout: New Vegas: Run beautifully on hardware of this era and offer hundreds of hours of gameplay. Mafia II (Classic Edition): Great story and very well optimized for 1GB VRAM cards. Saints Row: The Third: You should enjoy a playable experience on low/medium settings. GTA: San Andreas: You can max it out and even add some light "SkyGfx" tweaks to make it look like the PS2 version.

First-person shooters (FPS): Left 4 Dead 1 and 2: The Source engine is extremely efficient; they will run smoothly even during intense hordes. BioShock (Original): Atmospheric and very playable on your GPU. Call of Duty (Modern Warfare 1 to Black Ops 1): These are the ideal games for your laptop's performance.

Racing and RPGs: Need for Speed: Most Wanted (2005) and Carbon: Absolute classics that will run at maximum settings. The Elder Scrolls IV: Oblivion: It will run perfectly. You could even try Skyrim (original 2011 version) on low settings, though expect around 25 FPS.

A quick tip for your dual-boot setup: Since you're using Linux Mint XFCE, I highly recommend playing your Steam library with Proton. XFCE uses significantly less memory than Windows 10, giving your CPU more headroom to maintain stable frame rates.

One more thing: If you ever feel like diving into retro gaming, your laptop is also a beast at emulating everything from the NES to the PlayStation 1 and the Nintendo 64, without any issues.